Question

The energy associated with the first orbit in the hydrogen atom is -2.18 x 10⁻¹⁸ J atom⁻¹. What is the energy associated with the fifth orbit?

Answer 1

Answer:

Energy in the fifth orbit is,$E_{5} =8.72\times10^{-20}$

Explanation:

Since we have given that the energy associated with the first orbit in the hydrogen atom is -2.18 x 10⁻¹⁸ J atom⁻¹.we need to find the energy associated with the fifth orbit.

we know that the energy in nth orbit is =$\frac{-2.18\times10^{-18} }{n^{2} }$.......................(1)

so the energy in the first orbit is  -2.18 x 10⁻¹⁸ J atom⁻¹.

So for finding the energy in fifth orbit put n=5 in equation (1)

$E_{5} =\frac{-2.18\times10^{-18} }{5^{2} }$

So,$E_{5} =8.72\times10^{-20}$